Summability implies Collet–Eckmann almost surely
Summability implies Collet–Eckmann almost surely
Abstract We provide a strengthened version of the famous Jakobson's theorem. Consider an interval map $f$ satisfying a summability condition. For a generic one-parameter family ${f}_{t} $ of maps with ${f}_{0} = f$ , we prove that $t= 0$ is a Lebesgue density point of the set of parameters for …